Modular curves of composite level
Multiplicative Dedekind -function and representations of finite groups
In this article we study the problem of finding such finite groups that the modular forms associated with all elements of these groups by means of a certain faithful representation belong to a special class of modular forms (so-called multiplicative products). This problem is open.We find metacyclic groups with such property and describe the Sylow -subgroups, for such groups. We also give a review of the results about the connection between multiplicative -products and elements of finite orders...